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Finding the Third Proportional to 62,471 and 99,356

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Solution

The third proportional to 62,471 and 99,356 is: 158,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,471 : 99,356 = 99,356 : x
  2. Step 2: Convert to fraction form
    62,471/99,356 = 99,356/x
  3. Step 3: Cross multiply
    62,471x = 99,356 × 99,356
  4. Step 4: Simplify right side
    62,471x = 9,871,614,736
  5. Step 5: Solve for x
    x = 9,871,614,736/62,471
  6. Step 6: Final answer
    x = 158,019.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.